I learned this week in Pre Calc 11 is how to Add and Subtract rational expressions with Binomial Numerators. To do so, follow the steps I took in the example below…
I learned this week in Pre Calc 11 is how to write absolute value functions in piecewise notation. We already have learned about absolute values (reference back to week 3 blog post for reminder). This week we learned about piecewise notation, and how to understand and write it for a absolute value function.
Piecewise notation is used to describe a function that has different definitions for different parts of the graph. When writing absolute values we use piecewise notation to describe the absolute value of the number.
In the example below follow the steps I take to write a absolute value function in piecewise notation…
II learned this week in Pre Calc is how to solve systems of equations using substitution. A way to solve a linear system is to use the substitution method. You use the substitution method by substituting one y-value in a equation with the other. While using the substitution method you first substitute y in the second equation with thefirst equation since y = y. After substituting y into the equation and solving for x the value of x can then be used to find y by substituting the number you found, with x. While using the substitution method you can also start by substituting x in the second equation with the first equation.
Below is a example of how I solved a systems of equations using the steps above…
I This week in Pre- Cal 11, I learned this week how to graph linear equations in two variables. A linear equation divides a graph into two sections. A linear equation has variables to the first degree only! A linear inequality looks very similar to a linear equation, the difference between the two is that a linear equation has a “equals” symbol and a linear inequality has a “inequality” symbol. When writing or understanding a graph of a linear inequality we shade one side of two sections divided by the linear equation. The side of the linear equation that is shaded is the region that will “satisfy” the inequality.
To find the region that will satisfy the inequality we choose a point (called the test point) on either side of the slope and plug it into the linear inequality. Then solve the linear inequality. If the inequality sign is true to the numbers then shade in the region, if not shade in the opposite region on the graph. never choice a point in the graph .
Below is a example of how I graphed a linear equation in two variables using the steps above…
This week in Pre- Calc, we were studying for the math midterm. I decide to look back at the very first unit, since that would re-jog my memory. Week 1 : Arithmetic and Geometric Series and Sequences. I believe the most beneficial way to help me prepare for the mid to was to look back and wright out the key things on one piece of paper.
MAKE SURE TO DO QUESTIONS FROM THE UNIT TOO!!!
We recorded a podcast from a psychologist perspective on the novel Lord of the Flies, relating human morality, social conformity and herd mentality, including examples of how it occurs among the boys.
“When people are part of a group, they often experience deindividuation, or a loss of self-awareness”
-Examining the Mob Mentality, source.southuniversity.edu/examining-the-mob-mentality-31395.aspx.
“A professor from Florida, figure out that you only need 5% to start mob mentality”
-“‘Herd’ Mentality Explained.” Psych Central News, 28 June 2016, psychcentral.com/news/2008/02/15/herd-mentality-explained/1922.html.
“Kids tend to look towards older people for direction”
-Lopez, Linette. “THE SIBLING EFFECT: 12 Amazing Facts About Brothers And Sisters.” Business Insider, Business Insider, 14 Sept. 2011, www.businessinsider.com/sibling-effect-jeffrey-kluger-2011-9.
“When you start to develop morals”
-“Early Childhood Moral Development.” Child Development & Parenting: Early (3-7), www.gracepointwellness.org/462-child-development-parenting-early-3-7/article/12769-early-childhood-moral-development.
“One might find it easier to follow someone instead of voicing their opinion, fitting into a group is easier”
-Humphries, Lewis. “10 Signs You’re A Follower Instead Of A Leader.” Lifehack, Lifehack, 23 July 2015, www.lifehack.org/287415/10-signs-youre-follower-instead-leader.
“Ages of 2-4 is when children learn the difference between right and wrong”
“Parents being away from a child for 7-8 months can change how the child thinks and views things”
“Morals are gained through growing up, not something you are born with”
“Being away from your parents for too long can lead you to look up to an older authority”
“The boys still did bad things whether they agreed with it or not, the majority was doing it so they joined”
I learned in Pre Calc this week how to find the vertex of a quadratic equation that is in factored form. Here is how you find it: The first step is to find the x-intercepts or “zeros” of the equation. Once you’ve determined the zeros/ x-intercepts, you find the average of the zeros by adding them and dividing them by two. Once you find that, you plug it in as X in the equation in order to find Y. The x and y coordinates are the coordinates to your vertex.
During Pre-Cal this week i learned how to solve a chart with the properties of quadratic functions. To chart a quadratic equation you have to know how to tell when the table of value is showing a quadratic equation, instead of a linear equation. A linear equation in a table of value always has a y value (the output) that goes up or down by the same amount each time in the first differences. A quadratic equation in a table of value always has a y value that goes up or down by the same amount each time in the second difference. Below is a example of both a linear equation, and a quadratic equation charted.
When solving for quadratic functions, you should remember that the x intercept is always equal to y=0 and the y intercept is equal to x=0 (when solving). To find y you simply plug x into the given quadratic function. Below are some examples to visualize how I would solve for y using the table of values and quadratic function.